How worthless is Philosophy?

[vulcanlogician]

Science is useful because it makes correct predictions.  

True.

Its utility and its correctness are inseparable.  

False. They are independent metrics.

As to whether the causal story that science provides, its correctness is a deep question.

What exactly do you mean by that?

Some theists posit that the universe is regular and ordered because of the constant action of God.  How do we divine whether that is correct versus appealing to invisible forces?

Well, we can't disprove the theists there. But we can show how their explanation is superfluous.

Plus that, they did a lot of "god of gaps" stuff when they were in charge. They provided more than enough rope during that period to hang themselves. Sure, that doesn't refute their claims, but we should remember how all that went down.

Until they show that God is necessary for anything (without resorting to fiat) then we are well within our rights to not take their claims seriously.